Physiology of Saccharomyces cerevisiae during growth on industrial sugar cane molasses can be reproduced in a tailor-made defined synthetic medium

Fully defined laboratory media have the advantage of allowing for reproducibility and comparability of results among different laboratories, as well as being suitable for the investigation of how different individual components affect microbial or process performance. We developed a fully defined medium that mimics sugarcane molasses, a frequently used medium in different industrial processes where yeast is cultivated. The medium, named 2SMol, builds upon a previously published semi-defined formulation and is conveniently prepared from some stock solutions: C-source, organic N, inorganic N, organic acids, trace elements, vitamins, Mg + K, and Ca. We validated the 2SMol recipe in a scaled-down sugarcane biorefinery model, comparing the physiology of Saccharomyces cerevisiae in different actual molasses-based media. We demonstrate the flexibility of the medium by investigating the effect of nitrogen availability on the ethanol yield during fermentation. Here we present in detail the development of a fully defined synthetic molasses medium and the physiology of yeast strains in this medium compared to industrial molasses. This tailor-made medium was able to satisfactorily reproduce the physiology of S. cerevisiae in industrial molasses. Thus, we hope the 2SMol formulation will be valuable to researchers both in academia and industry to obtain new insights and developments in industrial yeast biotechnology.


Results and discussion
A fully defined synthetic medium to mimic industrial sugar cane molasses. Industrial substrates can be challenging to reproduce in the laboratory due to their wide compositional variation and lack of information regarding specific compounds 43 . In consequence, the reproducibility of results among different laboratories is often compromised 3 . One possible option would be the use of common laboratory media. However, the use of common yeast laboratory medium (e.g., YPD) might be not adequate to mimic the physiological parameters found in industrial molasses samples, as evidenced in the literature 11 . The authors showed the distinct behavior of S. cerevisiae strains in YP-sucrose and a defined media in comparison with sugar cane molasses. To illustrate this, we have also compared previously reported industrial molasses data 3 performed with another industrial yeast strain, Ethanol Red®, and using a scaled-down protocol (fed-batch with cell recycle) with YPsucrose medium (1% Yeast extract, 2% Peptone, and 18% Sucrose) 11 . The YP-sucrose presented an overall different behavior in the main technological parameters evaluated when compared to industrial molasses samples and with a former semi-defined synthetic molasses 3 . The accumulated biomass variation shows that YP-sucrose medium supported an increase of approximately 40% in cell growth, which is much higher than the increase observed when using industrial molasses media (Fig. S1, Supplementary data).
In this context, a synthetic medium to mimic this substrate in the sugarcane fermentation industry should not just consider a basal composition with nutrients required for yeasts but also feature special conditions, such as high salt concentrations and inhibitory compounds. In order to obtain a fully defined chemical composition reproducing sugar cane molasses, we took the composition reported by Lino et al. 3 as a starting point and adjusted it using data on real molasses compositions described in the literature 2,4 . The defined composition of our medium, which we named 2SMol, is presented in Table 1.
The major modifications to the composition reported by Lino et al. 3 , used to formulate 2SMol, and the respective rationales are the following: The sugar proportion was adjusted with a filter-sterilized 2.5-fold concentrated www.nature.com/scientificreports/ solution. The proportion was set to sucrose at 80%, fructose plus glucose at 10% each (in w/v) to match reported values from industrial molasses samples (Fig. S2, Supplementary data 1); Vitamin and trace elements stock solutions were based on the widely used defined medium reported by Verduyn et al. 18 , commonly adopted for studies in quantitative yeast physiology. Vitamin concentrations are set according to the original medium 18 , and trace elements were tenfold increased to approximate literature data for sugarcane molasses 2,4 ; Peptone addition, as reported by Lino et al. 3 , was removed, since it represents a complex source of nitrogen and of other nutrients, the composition of which if not fully defined. Instead, inorganic nitrogen ((NH 4 ) 2 HPO 4 ) and organic nitrogen (amino acids) sources, provided as filter-sterilized solutions (to avoid thermal degradation), were included; The organic acid solution proposed by Lino et al. 3 was kept here, but with the addition of citric acid 7 and pH adjustment using KOH, leading to a final pH of 5.0; the potassium ions added for pH adjustment were accounted for in the final composition; Calcium (as calcium chloride), magnesium and potassium ions (as sulphate salts) were split into two different stock solutions since they can differently affect yeast metabolism 22 . The first synthetic molasses formulation (named 1SMol) was based on the combined sugar and organic nitrogen source stock solution described by Lino et al. 3 ("Methods"). Growth kinetics experiments in microplates showed that the growth profiles of yeast in this 1SMol medium were very different from growth profiles obtained using industrial molasses media, even when supplemented with increasing amounts of vitamins and inorganic nitrogen sources, two of the leading nutritional groups affecting growth (Fig. S1, Supplementary data). In addition, as mentioned before, the organic nitrogen sources were combined with sugars in the 1SMol formulation, meaning that there was no flexibility in adjusting the nitrogen concentration independently from the total reducing sugar (TRS) concentration. As the preparation of this stock solution involved heat-sterilizing of amino acids and sugars, caramelization and/or Maillard reactions occurred 23 , leading to the degradation of amino acids and inversion of sucrose into glucose and fructose. Indeed, the investigation of the sugar composition of the synthetic molasses proposed by Lino et al. 3 indicated a sucrose proportion of only 10%, which is much lower than the values observed for true molasses samples (81 ± 6%) (Fig. S2, Supplementary data). Moreover, these degradation reactions can result in unknown compounds in the medium, resulting in a non-defined medium composition. www.nature.com/scientificreports/ To avoid these issues, the 2SMol formulation included an individual filter-sterilized organic nitrogen solution containing amino acids in concentrations commonly found in sugar cane substrates 24 . This modification avoided the formation of unknown reaction compounds and enabled the investigation of the influence of individual amino acids on yeast performance. Although yeasts can grow without organic nitrogen sources, amino acids can save sugar carbon and energy in yeast metabolism, as evidenced by Albers et al. 25 .
Diammonium hydrogen phosphate [(NH 4 ) 2 HPO 4 ] was added to the medium as an inorganic nitrogen source, playing a fundamental role in the biosynthesis of amino acids for biomass formation in S. cerevisiae 25 . In addition, this solution is also the primary source of phosphorous, required for nucleic acid biosynthesis, and as a substrate for many enzymes 26 .
The most common organic acids found in sugar cane were added in accordance with the report from Lino et al. 3 . Weak organic acids are known to cause an inhibition effect on yeast cells since they permeate through the cell membrane in the protonated form, dissociating in the yeast cytosol. As a result, cells excrete one H + using 1 ATP, to maintain intracellular pH homeostasis, decreasing the final biomass yield 4,27 . Organic acids are also known to cause decreased DNA and RNA synthesis rates and diminished metabolic activity 28 .
Salts were divided into two solutions and added in the range of concentrations reported by Basso et al. 4 . According to these authors, K, Mg, and S are the most abundant elements in molasses, apart from C, H, and O. Thus, the concentration of these elements was increased when compared to those employed by Lino et al. 3 . Figure 1 illustrates the concentration ranges of the main chemical elements, as reported by Basso et al. 4 (lower and upper limits), in comparison with the 2SMol formulation, with the values reported by Lino et al. 3 and with values measured in industrial molasses (Mol_A, Mol_B, and Mol_C) from sugar cane biorefineries, all located in the state of São Paulo, Brazil.
Calcium was added to achieve the lower limit reported 2,4 , due to its detrimental effect on yeast since it acts as a flocculation facilitator and as a suppressor of magnesium-dependent enzymes 22 . Other mineral compounds, such as Zn, Mn, and Cu, were adjusted to the range values by a tenfold increase in the trace elements solution proposed by Verduyn et al. 18 . According to Fig. 1, zinc (from trace elements solution), phosphorous (inorganic nitrogen source) and nitrogen are close to the upper reported limit. A proper evaluation of each nutritional group may clarify their respective effects on growth.

Adjustment of amino acid concentrations.
Within all compounds in 2SMol, the nitrogen source (as a sum of inorganic and organic sources) presented values up to 4 times higher (1.47 g.L −1 ) than the values reported previously (0.35 g.L −1 ) (Fig. 1). As already discussed, this nutritional source presents an important effect on S. cerevisiae physiology. Therefore, we proposed an additional experiment in microplates to evaluate yeast growth (using two strains, S. cerevisiae PE-2 and CEN.PK113-7D) at different organic nitrogen concentrations. The new versions of the synthetic medium were developed by altering the amino acid concentration with respect to the 2SMol-basal medium (0, 25, 50, 75, 100% of the 2SMol original organic nitrogen composition). The results for the growth parameters µ, OD max , and t decel were benchmarked against industrial molasses media (Mol_A, Mol_B, and Mol_D). The results for parameters and statistical groups are presented in Table 2.
In general, higher values of µ were obtained for PE-2 when compared to CEN.PK 113-7D strain. Among all amino acid concentrations tested, statistically different results were only observed for the absence of organic nitrogen (0% AA, group C). Among industrial samples, Mol_B was statistically different from Mol_A and Mol_D. Additionally, the values for this parameter for Mol_A and Mol_D were close to the synthetic compositions, except for 0% of amino acids. www.nature.com/scientificreports/ The results for OD max were similar between the tested strains, with increasing values as amino acid concentration increased. In higher nitrogen concentrations (75 and 100% AA), similar results (0.92 ± 0.01 and 0.91 ± 0.02 for PE-2 and 0.91 ± 0.01 and 0.90 ± 0.01 for CEN.PK113-7D) were observed, indicating that the strains might be insensitive to the amino acid concentrations in this range. The industrial molasses presented statistically different OD max values for higher (75 and 100%) and lower (0%) amino acid concentrations.
The decrease in amino acid concentrations led to increased deceleration times ranging from 8.7 to 24.9 and 11.7 to 33.1 h for PE-2 and CEN.PK113-7D, respectively. Deceleration times for PE-2 were significantly lower than CEN.PK113-7D for all tested media, although the pairwise comparison was not performed. For this parameter, the industrial molasses presented values comparable with the ones obtained for the synthetic compositions, except for Mol_B, which presented a statistically different value.
The growth kinetics obtained from this set of experiments indicated that at both 25 and 50% amino acid concentrations, the growth profiles fell within the range of the growth profiles observed for growth on molasses Mol_B and Mol_D, which represent the upper and lower limits, respectively, among the industrial samples investigated (Fig. 2). In the lower concentration (25%), the carbon-nitrogen ratio, considering carbon in fermentable sugars and total nitrogen, was 159, which is in the mid-range of values reported in the literature for sugar cane media -from 57 to 209 3,29 . Therefore, the 25% amino acid concentration of 2SMol was selected for subsequent experiments, which aimed to test the individual effects of the remaining nutritional groups.
Assessing the effect of nutritional groups: inorganic and organic nitrogen and vitamin sources affect S. cerevisiae growth patterns. Variations to the 2SMol composition (Table S1, Supplementary data) were tested to assess the effects of each nutritional group on growth profiles and physiological parameters of S. cerevisiae strains PE-2 and CEN.PK113-7D. The effects of phosphate and inorganic nitrogen were separately studied by using ammonium sulphate and potassium phosphate (instead of diammonium hydrogen phosphate), keeping the levels of the complementary chemical elements (sulphur and potassium) the same as in the 2SMol original formula. This means, for example, that in the composition with no ammonium, potassium phosphate was added to keep the level of phosphorus equal to the one found in the original formula. Figure 3 depicts the growth curves obtained for the three main nutritional groups. The amino acid and ammonium concentrations were the most significant variables influencing the physiological parameters evaluated (Fig. S4, Supplementary data). The effect of nitrogen sources (inorganic and organic) was statistically significant for all parameters both strains (Table S2, Supplementary data), except for the parameter t decel for S.cerevisiae CEN. PK113-7D cultivations. In fact, these two groups were expected to affect the evaluated parameters since yeast displays complex regulatory systems to adapt to nitrogen availability, strongly impacting alcoholic fermentation and growth kinetics 30 .
Vitamins also had a significant effect on the growth of both S. cerevisiae CEN.PK113-7D and PE-2 strains, in terms of the parameters µ and OD max , respectively. The vitamin concentration only had a statistically significant effect (p < 0.05) on µ of CEN.PK113-7D strain. On the other hand, the vitamin effect was smaller for the PE-2 strain, evidencing the capability of PE-2 strain to adapt to low vitamin concentrations. Unexpectedly, vitamin concentration (-1) affected only PE-2 OD max , whereas this was not observed for CEN.PK113-7D (Fig. 3B,E).
Besides OD max , some identified genetic signatures could explain the ability to cope with a decreased vitamin availability in industrial strains. Stambuk et al. 31 demonstrated that SA-1, PE-2, and other industrial fuel ethanol strains contain amplifications of the SNO2/SNZ2 and SNO3/SNZ3 genes, that are involved in the biosynthesis of thiamine and pyridoxine (vitamins B1 and B6, respectively), which are present in the vitamin stock solution used. Similarly, Argueso et al. 32 also detected five extra copies of the SNO/SNZ genes in a S. cerevisiae strain Table 2. Maximum specific growth rate, maximum optical density, and deceleration time for the growth of S. cerevisiae on 2SMol compositions with different amino acid concentrations or on industrial molasses. *Pairwise comparisons using Games-Howell test α = 0.05. † Pairwise comparisons using Tukey test with α = 0.05. www.nature.com/scientificreports/ JAY270 (PE-2 derived) in comparison with the S. cerevisiae laboratory strain S288C. The expression level of these genes was up-regulated approximately fourfold in the industrial strain relatively to the laboratory strain. The results presented by Stambuk et al. 31 and Argueso et al. 32 were recently clarified by Paxhias and Downs 33 . It was demonstrated that SNZ2 and SNZ3 genes were sufficient to generate growth on a minimal vitamin medium (only biotin and D-pantothenic acid hemicalcium salt were added as vitamins). Organic nitrogen, inorganic nitrogen and vitamins were chosen for a subsequent study. For this purpose, a factorial design with three levels (Table S3, Supplementary data) was used to evaluate the interactions among these variables and to establish a statistical model to emulate different molasses with these variables. Additionally, two industrial molasses samples were tested in the same experimental runs, comparing their results to the model obtained from cultivations using the 2SMol medium. The investigated ranges were the same as the ones tested in the previous experiment, except for organic nitrogen concentrations, that were increased in this new set of experiments.
Application of the ANOVA (Table S4-S6, Supplementary data) for the three variables indicated that the statistical model described all growth parameters very well. The high R 2 values for the adjusted quadratic model displayed an overall good fit. The R 2 values were close to 90% for almost all parameters in both strains, indicating a suitable model. Additionally, high t-values and low p-values also supported the statistical significance of the regression coefficients 20 .
Deceleration time for PE-2 was significantly lower than CEN.PK113-7D strain, as demonstrated by the significant difference in the constant value (b 0 ). Meanwhile, the b 0 values for the other two parameters were quite similar. In addition, linear model coefficients in the three growth parameters were significant to the model (p < 0.05). The quadratic terms for organic and inorganic nitrogen, and vitamins (b 11 , b 22 , and b 33 , respectively) were significant for µ, b 11 and b 22 for OD max , and b 33 for t decel . The same coefficients were significant for both strains, with PE-2 presenting smaller values than CEN.PK113-7D. The interaction term for organic and inorganic nitrogen (b 12 ) and organic nitrogen and vitamins (b 13 ) was significant for OD max , b 12 for µ for both strains. However, the interaction terms in t decel were different between strains. b 13 and b 23 were significant for PE-2, while b 12 and b 13 were significant for CEN.PK113-7D. Overall, organic nitrogen seems to highly affect growth parameters based on the interaction statistical coefficients.
The investigation of vitamins, inorganic and organic nitrogen using factorial design resulted in a more robust description of the effects of these essential nutritional groups in S. cerevisiae growth parameters, which were not www.nature.com/scientificreports/ observed in the first investigation of this section. The obtained equations could then be used, for example, to estimate the concentration ranges that would theoretically reproduce the parameters of distinct molasses samples. Finally, the growth parameters obtained for the synthetic compositions tested agreed with those found in industrial molasses (Fig. S5, Supplementary data), indicating that the synthetic medium presents flexibility and sensitivity. In spite of the large variability in molasses composition, the results of this section indicate that the formulation of 2SMol might be adequate to represent industrial samples and could be an important tool for molasses-based bioprocesses.
Validation assays performed in a scaled-down sugar cane biorefinery. Although microplate assays are a valuable tool for investigating many conditions and for defining the 2SMol composition, the proposed synthetic molasses was further validated in experiments closer to industrial ethanol production from molasses.
For this purpose, the 2SMol formulation (37.5% of the amino acids) was used as substrate in this simplified scaled-down process. The formulation containing 37.5% of the amino acids was selected considering its growth kinetics would be similar (Fig. S5) to the two investigated industrial molasses. The results over five fermentation cycles were compared to those obtained with industrial molasses samples (Mol_A, Mol_B, and Mol_C). All fermentation media were diluted to contain 180 g.L −1 TRS, and the experiments were performed in triplicates.
Initially, the total mass of each tube along the fermentation assay was registered hourly. The mass difference is associated with CO 2 loss, directly correlated with the sugar consumption and ethanol production profiles. The profiles for 2SMol (Fig. 4A) were consistent with those observed using industrial molasses, showing similar results. The results are presented as mmol CO 2 .g wet biomass −1 to account for possible differences associated with biomass variations along the fermentation cycles.
Although all media presented the same CO 2 production rate (the slope of the curve), 2SMol presented higher CO 2 loss at the end of the first cycle. Indistinguishable results were observed for the second and third cycles. Differences were observed in the following cycles, in which the CO 2 profile in the 2SMol resembled the profiles obtained using molasses from Mol_A, which reached higher values at the end of the cycle than Mol_B and Mol_C. The total CO 2 loss at the end of fermentations remained between 12 and 14 mmol.g wetbiomass −1 in molasses (TRS concentration 19.4%) at 30 °C, agreeing with reported values for PE-2 11 .
The pH is vital to ensure fermentation efficiency and maintain cell viability. S. cerevisiae is an acidophilic organism with an optimal pH range for growth between 4 and 6 34 . Thus, this parameter was measured in the fermentation media and wines (Fig. 4B). Comparing fermentation media, 2SMol presented a final pH of 5, lower than 5.5 obtained for industrial molasses. For the fermentation cycles, a similar wine-pH pattern was observed with a decrease in the first (6.2 ± 1.6%) and the second cycles (6.7 ± 1.7%) followed by a stabilization around a constant value for all tested media.  www.nature.com/scientificreports/ These results were compared to the yeast viability profiles to assess if the differences in absolute values for pH were critical for the process. Figure 4C shows the viabilities measured by the methylene-blue method along the fermentation cycles. The obtained results were similar, with relatively high viability after propagation followed by a slight decrease along the cycles. Additionally, cell viability remained higher than 90% for all media, indicating that the pH differences for 2SMol were within a safe range for ethanolic fermentation. Moreover, if one may be interested, 2SMol can be easily adjusted by adding KOH during the formulation to match the exact pH of a specific molasses sample.
Yeast biomass is an essential parameter in alcoholic fermentations, reflecting the nutritional conditions imposed on cells during the process. Literature suggests that the nitrogen content in sugarcane-based media is only sufficient to support an increase in biomass around 5 to 10% in relation to the beginning of each cycle 9 . This increase can replace cell loss during the process (e.g., during centrifugation or acid treatment to cell recycling), but it is often necessary to withdraw excess yeast cell biomass from time to time in industrial scale 9 .
In order to investigate whether 2SMol could present similar results to industrial molasses, the biomass variation along the cycles was measured (Fig. 4F). The results indicated that the synthetic medium presented similar behavior to the industrial molasses, increasing biomass in the first two cycles and no increase or decrease was observed in the last one (Fig. 4E). Interestingly, the biomass variation reported by Raghavendran et al. 11 indicated that PE-2 could increase biomass in all six cycles tested, different than the situation observed in our experiment. These small differences could be due to the difficulties in precisely measuring wet yeast biomass.
Ethanol yield may be regarded as the most critical parameter in industrial fermentations, which directly relates to the economic viability of the process 35 . This parameter is represented here as a percentage of the maximum theoretical (or stoichiometric) yield, based on total TRS fed to the culture, and details on its calculation are described elsewhere 11,35 . The synthetic molasses composition (2SMol) displayed similar values to the ones obtained with industrial molasses (Fig. 4D). The values presented fluctuated and reached figures as high as 94% and no particular trends could be observed for the different media used.
Another important metabolite we measured during the fermentation assays was glycerol, which represents the main by-product of ethanolic fermentation, in terms of carbon utilization. Its intracellular accumulation acts as a vital osmolyte, attributing protective properties against hyperosmotic and thermal stresses [36][37][38] . Among all parameters evaluated, glycerol production (titers) was the only one that resulted in significant differences when the 2SMol medium was compared to industrial molasses samples (Fig. 4G).
While glycerol titers in wine from industrial molasses remained at approximately 3 g.L −1 , the use of 2SMol led to concentrations around 4 g.L −1 . Raghavendran et al. 11 report a glycerol concentration of approximately 4 g. L −1 for PE-2 in molasses at 30 °C. Additionally, Prado et al. 39 obtained glycerol titers higher than 4.5 g.L −1 for a thermo-tolerant strain grown at 34 °C. Further investigations adjusting the composition of our 2SMol medium (e.g., lower salt concentrations) or in different osmotic pressures can potentially result in similar glycerol concentrations as observed for industrial molasses, with similar biomass variation, ethanol yields, and viability.
Trehalose also protects cells against stressful environments 40 . Thus, we measured trehalose levels as a percentage of dry cell mass before the first and after the last cycle (Fig. 4H). The results indicated similar results among all media with a slightly smaller value for 2SMol. Before the first cycle, trehalose represented around 2.5% of the total dry mass, increasing to about 16% after the last. In contrast to the molasses investigated here, Raghavendran et al. 11 reported that trehalose content after six cycles was closer to the values observed for our 2SMol medium, representing about 11% of cellular dry mass. It is noteworthy that Raghavendran et al. 11 used sugar cane molasses obtained from São Manoel (São Manuel, Brazil) and São Martinho mill (Pradópolis, Brazil), which is different from the ones used here.
The comparison between the 2SMol medium and different industrial molasses performed here, considering all physiological and technological parameters evaluated, indicated that the 2SMol formulation is capable of adequately reproducing sugar cane molasses fermentations, with a fully defined medium composition. For specific situations or applications, it is possible to alter the original 2SMol composition, similar to what has been reported in the context of grape wine fermentations, in which particular characteristics of different grapes are explored by using different versions of the synthetic grape juice medium reported by Bely et al. 12 .

Case study: How do nitrogen concentrations affect fed-batch fermentations in industrial-like conditions?
According to the literature, industrial alcoholic fermentations carried out in Brazilian sugar cane biorefineries have led to the highest reported ethanol yields within all other substrates used 9,41 . Several factors, such as the use of high cell concentrations and fed-batch operation with cell recycling, contribute to this outcome 4 . However, one of the hypotheses discussed by some authors is that the nitrogen content also plays a key role, since sugar cane feedstock are very poor in this nutrient, presumably being only sufficient to support around 5 to 10% of biomass increase during each fermentation cycle 2,4,42 . In this scenario, the increase in cell biomass due to nitrogen availability is sufficient to replace losses of cell biomass caused by cell death and postfermentation treatments (e.g., acid treatment, centrifugation, excess yeast cell biomass withdrawal).
We decided to take advantage of our fully defined synthetic molasses to investigate the effect of nitrogen availability on yeast performance in an industrially relevant setup. The 2SMol formulation was prepared with two different compositions in which the total nitrogen content was either zero (0SMol) or four times the amount (4SMol). The ratio between ammonium and amino acid nitrogen was kept constant. Thus, the total nitrogen concentrations were 0, 602.7, and 2401.6 mg.L −1 in 0SMol, 2SMol, and 4SMol, respectively.
Initially, results for CO 2 loss normalized to wet cell biomass were plotted as in previous reports 11,39 . Normalization ensures the biomass increase/decrease is considered during the evaluation of the results, and there is no over/underestimation of this parameter 11 . Additionally, the CO 2 loss could be directly related to sugar consumption during fermentation cycles. The results of CO 2 loss per gram of wet cell indicated a similar consumption www.nature.com/scientificreports/ rate among the three studied media (slope of the CO 2 loss curve) in the first six hours of each cycle (Fig. 5A). The final results obtained were different, in which a higher CO 2 production per gram of cell was observed for the composition without nitrogen (15.0 ± 0.45 mmol.g −1 ) and decreased production for the 4SMol composition (12.27 ± 0.45 g.g −1 ), in comparison to the reference 2SMol composition (13.18 ± 0.23 g.g −1 ). The values obtained for CO 2 loss corroborated the data of biomass accumulation over the fermentation cycles (Fig. 5B). All the three media investigated started with 4 g of wet biomass, and displayed distinct behaviors along the cycles. After the first cycle, the yeast biomass obtained were 4.45 ± 0.01, 4.47 ± 0.05, and 4.70 ± 0.04 g of wet cells for 0SMol, 2SMol and 4 SMol, respectively, resulting in percentage variations of 10 to 15% of the initial fermentation biomass (Fig. 5C). Even in the absence of nitrogen, the initial increase can be explained by an intracellular accumulation of nutrients in the propagation stages preceding the fermentation cycles. In the 0SMol medium, cell biomass decreased in all the following cycles, leading to a total reduction of 4.6% of the initial mass. The viability for this medium also decreased from 99.5 to 87.4%, following the same downward trend of the total biomass (Fig. 5D). The opposite pattern was observed for the medium with high nitrogen concentrations (4SMol). After an initial increase, the biomass was reduced at the end of the second cycle and significantly increased until the end of the remaining fermentation cycles, finishing the fifth cycle with 5.98 ± 0.11 g of cells (45.97 ± 2.0%). Viability in 4SMol remained virtually stable over the cycles. As expected, glycerol titers were correlated to wet cell biomass, due to the necessity of reoxidazing excess NADH formed during yeast cell biosynthesis 45 . Glycerol concentrations for 4SMol increased steadily, when compared to 2SMol, reaching 5.4 g.L −1 at the end of the fifth fermentation cycle (Fig. 5F). On the other hand, 0SMol presented the lowest glycerol titers with a stabilization of its production close to 3 g.L −1 and a slight increase in the last fermentation cycle.
Ethanol yields remained similar throughout the fermentation cycles, for the three media investigated. 0SMol resulted in low ethanol yields when compared to the theoretical maximum in the first fermentation cycle but reached values above 90% in the following cycles (Fig. 5E). In general, the Brazilian industrial operation comprises up to 2-3 fermentation cycles per day, during 200-250 days of operation with cell recycling during the annual production period 9 . From an industrial point of view, obtaining high ethanol yields with reduced cell viability and decreased cell biomass is not very advantageous to the process, making the operation unfeasible for long periods and with the need for external addition of fresh cells. In this case, the media with nitrogen sources (2SMol and 4SMol) showed more balanced performances in terms of biomass and ethanol production than 0SMol.

Conclusions
This work illustrates the development of a fully defined synthetic molasses medium, that is based on a previously published semi-defined formulation. The proposed medium is conveniently prepared from some stock solutions and was validated in a scaled-down sugar cane biorefinery model, against molasses-based media. We showed that the physiology of S. cerevisae in industrial molasses can be reproduced in this tailor-made defined synthetic medium. In addition, this proposed formulation can be used to investigate the effects of relevant nutrients, as well as toxic compounds, on bioprocess performance. Thus, our medium flexibility presents an advantage compared to common laboratory complex media by accurately reproducing the physiology of S. cerevisiae in industrial sugar cane molasses. We thus hope the 2SMol formulation will be valuable to researchers both in academia and industry to obtain new insights and developments in industrial yeast biotechnology, and to provide reproducibility among different laboratories interested in sugar cane molasses-based processes.

Industrial molasses samples and chemical composition analysis. Industrial molasses samples
were kindly provided by five sugar cane biorefineries from São Paulo State (Brazil) in different collection dates ranging from 2014 to 2019. The molasses samples were kept in 5 °C refrigerators and, before use, were diluted with distilled water to yield approximately 500 g of molasses.L −1 . The resulting diluted molasses were centrifuged (2000 g, 15 min) to remove insoluble materials which affect analytical methods 11 . Next, the refractive index of the supernatant was adjusted to 20° Brix with a handheld refractometer. Molasses was then heat-sterilized at 121 °C for 20 min. Before all experiments, the total reducing sugar (TRS) concentration was measured using highperformance liquid chromatography (HPLC).
In order to compare the results for the proposed defined synthetic molasses with industrial sugarcane molasses samples, the main nutrients (minerals and nitrogen, phosphorus and sulphur sources) of three industrial molasses (Mol_A, Mol_B, and Mol_C) were determined in an outsourced company (ALS Ambiental Ltda., São Paulo, Brazil). The chemical compounds and their respective methods were the following: Total nitrogen Preparation of the fully defined synthetic molasses. Preparation of the medium developed in this work (named 2SMol) was based on mixing seven sterilized stock solutions. Initially, the sugar stock solution described by Lino et al. 3 was mixed in a 0.25 ratio to a filter-sterilized (0.22 µm) 500 g.L −1 sucrose solution to yield a new sugar stock solution containing 80% of sucrose. This procedure was adopted because a previous investigation indicated partial hydrolysis of sucrose in LSM caused by heat sterilization. Later, the procedure was further adapted by mixing the sugar stock with a filter-sterilized amino acid solution. For this purpose, a solution containing sucrose (400 g.L −1 ), glucose (50 g.L −1 ), and fructose (50 g.L −1 ) was filter-sterilized, generating the new sugar stock solution. Next, the amino acid solution was prepared by adding aspartic acid (3.75 g.L −1 ), glutamine (10.375 g.L −1 ), and asparagine (3.55 g.L −1 ), with pH adjustment using H 2 SO 4 (1 M) to 5.0, followed by a filtering process.
Vitamins and trace elements solutions were prepared according to Verduyn et al. 18 . The salt stock solution (K 2 SO 4 , MgSO 4 ), the organic acids stock solution (trans-aconitic, L-malic, and citric acids, and KOH), and the Calcium stock solution (CaCl 2 ) were heat sterilized at 121 °C for 15 min. The inorganic nitrogen ((NH 4 ) 2 HPO 4 ) stock solution was filter-sterilized (0.22 µm) to avoid thermal degradation.
The final composition of the medium was adjusted along the experiments by changing the proportions of the stock solutions mentioned above, as described in the "Results" section when appropriate.
Yeast growth kinetics in microplates. Growth profiles and parameters were used to compare industrial molasses and the synthetic medium developed (2SMol). Microplate assays were employed in this step. Inocula for the microplate assays were prepared by inoculating a loopful of yeast cells from a cryotube culture into YPD medium (1% yeast extract, 2% peptone, and 2% glucose) overnight (30 °C, 200 rpm). On the next day, 0.1 mL of the cell suspension was transferred to a fresh YPD medium, incubated in the same conditions above, and monitored by the optical density at 600 nm (OD 600 ) 19 . Cells were harvested during the exponential phase and carefully washed five times with sterile distilled water to minimize micronutrients interference from the YPD medium. Finally, 20 µL of the washed cell suspension were incubated in 180 µL of each media (aimed initial OD 600nm of 0.1) in a microplate reader Infinite M200PRO (Tecan, Switzerland) and growth was monitored by measuring OD 600 in 20 min intervals at 30 ºC with orbital shaking (15 s before measurement, 5 mm of amplitude). The microplate was covered with a gas permeable sealing film (Sterile Axyseal sealing film, Axygen®) and anaerobically conditions were assumed 46 . The CO 2 production was not considered in this experiment. All conditions were performed in triplicates. Blank was prepared by incubating 180 µL of each media with 20 uL of pure sterile water.
Besides visual inspection, three parameters were used to numerically compare the growth profiles: the maximum specific growth rate (µ), the maximum OD 600nm (OD max ), and the deceleration time (t decel ). µ is determined as the highest slope in the ln OD 600nm versus time curve. OD max is the maximum OD 600nm reached, representing total cell growth. The additional parameter t decel was defined as the time interval between the end of the exponential growth phase and the time to reach OD max . A script was developed in Python to determine all three parameters in an automatic manner. Figure S6 (Supplementary file) presents a brief explanation of the software used.

Substrate and extracellular metabolites quantification. A HPLC system (Shimadzu Prominence
LC-20AB, Japan) with a refractive index detector was used to determine sugars and metabolites concentrations in fermentation experiments. Before injection, liquid samples were centrifuged (10,000 rpm, 10 min) to remove suspended solids or cells. The supernatant was ten-fold diluted to match the HPLC limits of quantification and filtered (0.22 µm syringe filter). Linear calibration for each component was performed for each injection batch.
Two different columns were used. A Bio-Rad HPX-87H column at 60ºC was used to separate glucose, fructose, glycerol, and ethanol in fermentation samples with 5 mM H 2 SO 4 as eluant (0.6 mL.min −1 ). Sugar concentrations (sucrose, glucose, and fructose) in molasses and medium samples were determined using a Bio-Rad HPX-87C column kept at 85 °C with ultrapure water (0.6 mL.min −1 ) as the eluent. The injection volume was 10 µL for both columns.
Statistical analysis. Minitab 19 (Minitab Inc., USA, version 19.2-64 bit) was used to perform all statistical analyses. During the individual investigation of each nutritional group, multiple comparison tests for each evaluated parameter were performed by one-way ANOVA and Tukey's and Games-Howell's tests for homo and heteroscedastic data, respectively 20,21 . Bartlett statistical test (p < 0.05) was applied to the variances test 21 . After this initial investigation, the statistical software was used to define a 3 3 complete factorial design, yielding 27 conditions, to evaluate the interactions among the concentration of amino acids, ammonium, and vitamins on µ, OD max , and t decel for the S. cerevisiae PE-2 and CEN.PK113-7D strains. This methodology allowed for the crea- www.nature.com/scientificreports/ tion and analysis of a statistical model given in Eq. (1) for the coded variables also performed in Minitab. The response, linear, and interaction terms are represented by y, bi, and bij, respectively: Validation of the synthetic molasses and case study in a scaled-down sugar cane biorefinery. After microplate experiments, the final composition of 2SMol was benchmarked against three industrial molasses samples from different mills (São Paulo, Brazil) named Mol_A, Mol_B, and Mol_C in experiments mimicking Brazilian ethanol production. The protocol was described in detail by Raghavendran et al. 11 . An initial pre-culture was prepared by inoculating yeast cells in YPS (1% Yeast extract, 2% Peptone, and 4% Sucrose) medium for 12 h. The resulting cell suspension was then added to a flask containing propagation medium, which consisted of sugarcane molasses (10° Brix). The flask was left undisturbed for 48 h to allow fermentation to occur.
The decanted cells were separated from the wine using centrifugation. To initiate the fermentation step, triplicates were prepared by combining 4 g of wet cells from the propagation phase, 6 mL of water, and 2 mL of the separated wine in pre-weighed centrifuge tubes. Throughout the fermentation cycles, 9.25 mL of fermentation media was added at different time points (0, 2, and 4 h of fermentation). The tubes were weighted hourly.
After each cycle (~ 20 h of fermentation), a 1 mL sample was taken for biological analysis. The cells and wine were then separated through centrifugation. The cells were weighed and mixed again with 2 mL of the separated wine and 6 mL of water. The pH of this mixture was adjusted to 2.5 using acidic treatment (H 2 SO 4 0.5 N). The mixture was left at room temperature for 1 h before commencing a new cycle. A total of five cycles were performed in triplicate for each condition.
This protocol accounts for many specific features of Brazilian ethanol production, such as cell recycling, sequential fermentation, acid treatment, and non-aseptic conditions. The industrial strain of S. cerevisiae PE-2 and 32 °C were selected for this experiment. The same protocol and conditions were applied to the case study investigating the total nitrogen concentration for the media 0SMol, 2SMol, and 4SMol.

Data availability
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